Results 161 to 170 of about 27,126 (206)

The Hirota’s bilinear method and the tanh–coth method for multiple-soliton solutions of the Sawada–Kotera–Kadomtsev–Petviashvili equation

Applied Mathematics and Computation, 2008
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Abdul-Majid Wazwaz
exaly   +2 more sources

Dust Acoustic Multi-soliton Collisions in a Dusty Plasma Using Hirota Bilinear Method

مجلة جامعة عمران, 2021
The propagation and collision of dust acoustic (DA) multi-solitons in a four component dusty plasma which consists of negatively and positively charged cold dust fluids, Boltzmann distributed electrons and ions have been studied in the presence of a polarization force acting on dust grains.
Mahmood Ahmed Hassan Khaled, Mohamed Ali Shukri, Yusra Abd-Ulrahman Hager   +2 more
openaire   +1 more source

Painlevé integrable property, Bäcklund transformations, Lax pair, and soliton solutions of a (3 + 1)-dimensional variable-coefficient Hirota bilinear system in a fluid

The Physics of Fluids, 2023
In this paper, we focus our attention on a (3 + 1)-dimensional variable-coefficient Hirota bilinear system in a fluid with symbolic computation. The Painlevé integrable property is derived.
Yu-Qi Chen, Bo Tian, Yuan Shen, Tian-Yu Zhou   +3 more
semanticscholar   +1 more source

Stability Analysis and Soliton Solutions of the Nonlinear Evolution Equation by Homoclinic Technique Based on Hirota Bilinear Form

2023 International Conference on Fractional Differentiation and Its Applications (ICFDA), 2023
The novel KdV model plays a significant part in the discovery of a variety of nonlinear ion acoustic wave and harmonic crystal phenomena. The new homoclinic method based on the Hirota bilinear form is used to create the bilinear form of the new KdV ...
A. Yokuş, M. Isah
semanticscholar   +1 more source

Hirota's Bilinear Method and its Generalization

International Journal of Modern Physics A, 1997
We review Hirota's bilinear method for constructing multisoliton solutions, its use in searching for new soliton equations, and its generalization to higher multi-linearity using gauge invariance as the determining property. Hirota's method is relevant even when a soliton solution is not the object of the study, as an example we show how it clarifies ...
openaire   +2 more sources

Integrability features of a new (3+1)-dimensional nonlinear Hirota bilinear model: multiple soliton solutions and a class of lump solutions

International Journal of Numerical Methods for Heat & Fluid Flow, 2022
Purpose This paper aims to propose a new (3+1)-dimensional integrable Hirota bilinear equation characterized by five linear partial derivatives and three nonlinear partial derivatives.
A. Wazwaz, L. El-Sherif, S. El-Tantawy
semanticscholar   +1 more source

Study of two soliton and shock wave structures by weighted residual method and Hirota bilinear approach

Nonlinear Dynamics
Jun Zhang, J. Manafian, S. Raut, Subrata Roy, K. H. Mahmoud, A. Alsubaie   +5 more
semanticscholar   +2 more sources

Soliton interaction in the higher-order nonlinear Schrödinger equation investigated with Hirota's bilinear method

Physical Review E, 2008
The soliton interaction is investigated based on solving the higher-order nonlinear Schrödinger equation with the effects of third-order dispersion, self-steepening, and stimulated Raman scattering. By using Hirota's bilinear method, the analytic one-, two-, and three-soliton solutions of this model are obtained.
Wen-Jun, Liu, Bo, Tian, Hai-Qiang, Zhang, Li-Li, Li, Yu-Shan, Xue   +4 more
openaire   +2 more sources

Soliton Solutions of Coupled KdV System from Hirota's Bilinear Direct Method

Communications in Theoretical Physics, 2008
With Hirota's bilinear direct method, we study the special coupled KdV system to obtain its new soliton solutions. Then we further discuss soliton evolution, corresponding structures, and interesting interactive phenomena in detail with plot. As a result, we find that after the interaction, the solitons make elastic collision and there are no exchanges
Yang Jian-Rong, Mao Jie-Jian
openaire   +1 more source

Multiple rogue wave and solitary solutions for the generalized BK equation via Hirota bilinear and SIVP schemes arising in fluid mechanics

Communications in Theoretical Physics, 2020
The multiple lump solutions method is employed for the purpose of obtaining multiple soliton solutions for the generalized Bogoyavlensky–Konopelchenko (BK) equation. The solutions obtained contain first-order, second-order, and third-order wave solutions.
J. Manafian, O. Ilhan, A. Alizadeh, S. Mohammed   +3 more
semanticscholar   +1 more source